Difficult to advise. Not many pre 1845 marriages in Ireland are on-line. If you don’t know where the family came from it can be a needle in a haystack. Looking at Griffiths Valuation (1848 – 1864) I notice that whilst there are plenty of Gardners in Co Antrim, there are no Hazletons at all. With 2 exceptions (Down & Limerick) they are all in Armagh & Tyrone. So I’d be inclined to look at those two counties rather than Antrim for the marriage. (Tradition was to marry in the bride’s church so even if Archibald came from Antrim, they probably married wherever the bride came from, even if they lived in Antrim thereafter).